Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra

Autor: Abdul Nadim Khan, Husain Alhazmi
Rok vydání: 2023
Předmět:
Zdroj: Georgian Mathematical Journal. 30:389-396
ISSN: 1572-9176
1072-947X
DOI: 10.1515/gmj-2023-2005
Popis: Let 𝒜 be a prime ∗-algebra. For any A , B ∈ A \mathscr{A},\mathscr{B}\in\mathcal{A} , a product A ⋆ B = A ⁢ B * + B ⁢ A * \mathscr{A}\star\mathscr{B}=\mathscr{A}\mathscr{B}^{*}+\mathscr{B}\mathscr{A}^{*} is called a bi-skew Jordan product. In this paper, it is shown that every multiplicative bi-skew Jordan triple derivation is an additive ∗-derivation on a prime ∗-algebra.
Databáze: OpenAIRE